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Finding the Third Proportional to 224,748 and 486,919

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Solution

The third proportional to 224,748 and 486,919 is: 1,054,915.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,748 : 486,919 = 486,919 : x
  2. Step 2: Convert to fraction form
    224,748/486,919 = 486,919/x
  3. Step 3: Cross multiply
    224,748x = 486,919 × 486,919
  4. Step 4: Simplify right side
    224,748x = 237,090,112,561
  5. Step 5: Solve for x
    x = 237,090,112,561/224,748
  6. Step 6: Final answer
    x = 1,054,915.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.